Answer:
x = 1
, y = 0
Step-by-step explanation:
Solve the following system:
{y = 2 x - 2 | (equation 1)
y = x - 1 | (equation 2)
Express the system in standard form:
{-(2 x) + y = -2 | (equation 1)
-x + y = -1 | (equation 2)
Subtract 1/2 × (equation 1) from equation 2:
{-(2 x) + y = -2 | (equation 1)
0 x+y/2 = 0 | (equation 2)
Multiply equation 2 by 2:
{-(2 x) + y = -2 | (equation 1)
0 x+y = 0 | (equation 2)
Subtract equation 2 from equation 1:
{-(2 x)+0 y = -2 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by -2:
{x+0 y = 1 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = 1
, y = 0
